Functions with average and bounded motions of a forced discontinuous oscillator

Enguiça, RicardoOrtega, Rafael2019-09-122019-09-122019-09ENGUIÇA, Ricardo; ORTEGA, Rafael – Functions with average and bounded motions of a forced discontinuous oscillator. Journal of Dynamics and Differential Equations. ISSN 1040-7294. Vol. 31, N.º 3 (SI)(2019), pp. 1185-11981040-72941572-9222http://hdl.handle.net/10400.21/10498In this paper we prove the existence of bounded solutions in the real line for the equation u+ sign( u) = p( t), where p is a function with average. Some useful density results for the space of functions with zero average are also obtained.engForced oscillatorLandesman-Lazer conditionGenerating functionsTwist mapsFunctions with averageFunctions with average and bounded motions of a forced discontinuous oscillatorjournal article10.1007/s10884-017-9595-1